MAE102_QUIZ_SOL

# MAE102_QUIZ_SOL - Name MAE 102 WINTER 2008 Quiz 1 A plane P...

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Unformatted text preview: Name MAE 102 WINTER 2008 Quiz 1. A plane, P, ﬂys in a Vertical circle with a radius of 1500m. The plane’s forward velocity is 500 km/hr. At the instant shown, r = 1 km and the plane is at an altitude of 500 m. Express the plane’s velocity using both Cartesian (x-y) and Polar (r-9) coordinates. If the plane maintains a constant speed, ﬁnd F and 65. - m/ SideView V: gown)“ ’ INN s all P ~ ~r1d 5:700 ) 0-51 4 (7:30” \/ a W ﬂ vx "' r" ' W7: ow"; (on/+380”; V: V/osﬁff VS;.,,{5;‘ :’,qbq‘%kaY—;:—”f‘-————‘j 7 “MN 4 : max”): 1‘ + arm'wsj m Y 3 VHS/wag, ~ Vs.n/V‘#)fzr : H“‘a'31”:z:7;7:271”W 2 "(3 o.é35);”“EIMT'EV. m V: 5» Vr ~ ’" ‘ V/Us/wrs) => Zr : Maw/MA, = triﬂzr/s I V0 T Y‘V 3 ‘49.}; “"/g :3 2 ' 0- 0‘” "// ( I L‘ W“- /\/I L )3 ram) ) r ~~~~~~~~ NW 0 3 \_ K- ‘- I M 1 V’ 33 , Wow. 3 6’ 6 /5 \Mmm _______ VW~M'«’f*1_”WTTT‘-AWT "‘y", 2. What must 9 be so that the velocity of A relative to B (VA , B) is purely in the x direction? What is V A , B ? If B accelerates in the direction of its velocity by 5 "g; , how much must A accelerate in the direction of its velocity in order to have A A , B be purely in the x direction? What is A A ,8 45‘ YA =1 5103!? T + 6S’sinﬂfjwynr Q A \) ‘24, r Q‘A/ﬂ =3 Vfc‘Hr :q/uafnn m m +, 33%;. 3. The Sliders A and B are connected by a massless rigid bar of length l m and move with negligible friction in their slots, which lie in a vertical plane. At the instant shown, the velocity ofB is VB = 0.5% and XB = 0.8m. The mass ofA is 2 kg and the mass of B is 5 kg. Find the Tension in the rod and the accelerations of A and B. im 0 V XD-gm ‘ A X3 : "VG 1‘04”): in111‘ X82 :) Xﬂ‘o-W" {5: @0‘0 3 SS.’3° /0W\$‘lroini 91,: 12 : (A? + xv: )\$++;M(A41H/QLV‘L 1) 0 : ; X‘A x19 + yxﬁ X's mil; V} _ d -'z ~~ . x A "Robin't —) 0-xﬂ+xﬂxﬂ+*;+*8x8 £6 = “(gnu i31+xa3<~A) Re @3; 4 M Q) \ Ne, Z FxA: "Trusf5 'Mchtusz’ : MA XA A‘ 71' v {2 o"\\\ 37m (“Ag "‘ H W (D, @I 8) (’q’uuifoms XA’ £6 T UWKnUWnS :3 ‘Hu bur )S in («mph/55in” 25w "mam n N AHMMHW MHW‘} Fur Fthirs VP’I(}+y W4] A([{14u1+‘l\n Rehhomshps USIn9 cham Vflo‘h’y /A((( If”; tﬁm 'PvrAu/n 3 51v, 1 Y“ * \l's/A [M 3 GA (us(3 3, fan. SIMB£¢ gr “a‘lusﬁ: D‘Arosﬁ +037} ‘las’s _ as 3 GA ...
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